Monte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation

The Monte Carlo method is one of the top 10 algorithms in the 20th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design automation (EDA) problems. Compared with the traditional method...

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Bibliographic Details
Main Authors: Yu, Wenjian, Mascagni, Michael (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2023, 2023
Edition:1st ed. 2023
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Monte Carlo Method for Solving PDE
  • A Monte Carlo Algorithm for the Telegrapher’s Equations
  • Basics of Floating Random Walk Method for Capacitance Extraction
  • Pre-Characterization Techniques for FRW Based Capacitance Extraction
  • Fast FRW Solver for 3-D Structures with Cylindrical Inter-Tier-Vias
  • Fast FRW Solver for Structures with Non-Manhattan Conductors
  • Technique for Capacitance Simulation with General Floating Metals
  • Markov-Chain Random Walk and Macromodel-Aware Capacitance Extraction
  • GPU-Friendly FRW Algorithm for Capacitance Extraction
  • Distributed Parallel FRW Algorithm for Capacitance Simulation
  • A Hybrid Random Walk Algorithm for 3-D Thermal Analysis